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Finding the Fourth Proportional to 180,511.15, 270,692.21 and 68,172.25

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Solution

The fourth proportional to 180,511.15, 270,692.21 and 68,172.25 is: 102,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,511.15 : 270,692.21 = 68,172.25 : x
  2. Step 2: Convert to fraction form
    180,511.15/270,692.21 = 68,172.25/x
  3. Step 3: Cross multiply
    180,511.15x = 270,692.21 × 68,172.25
  4. Step 4: Simplify right side
    180,511.15x = 18,453,696,672.31
  5. Step 5: Solve for x
    x = 18,453,696,672.31/180,511.15
  6. Step 6: Final answer
    x = 102,230.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.